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**Noethericity and index of a characteristic bisingular integral operator with shifts.**
*(English.
Russian original)*
Zbl 1476.47012

Sib. Math. J. 60, No. 4, 585-591 (2019); translation from Sib. Mat. Zh. 60, No. 4, 751-759 (2019).

Summary: We consider a characteristic bisingular operator with rather arbitrary shifts that decompose into one-dimensional components. We reduce the problem about the Noethericity and index to that about an operator without shifts. The results obtained are straightforwardly applicable to the two-dimensional boundary-value problem with shifts which is a natural generalization of the Haseman and Carleman problems.

### MSC:

47A53 | (Semi-) Fredholm operators; index theories |

47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |

47G10 | Integral operators |

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\textit{S. V. Efimov}, Sib. Math. J. 60, No. 4, 585--591 (2019; Zbl 1476.47012); translation from Sib. Mat. Zh. 60, No. 4, 751--759 (2019)

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### References:

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